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Finding the Fourth Proportional to 5,729.65, 7,906.21 and 3,490.71

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Solution

The fourth proportional to 5,729.65, 7,906.21 and 3,490.71 is: 4,816.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,729.65 : 7,906.21 = 3,490.71 : x
  2. Step 2: Convert to fraction form
    5,729.65/7,906.21 = 3,490.71/x
  3. Step 3: Cross multiply
    5,729.65x = 7,906.21 × 3,490.71
  4. Step 4: Simplify right side
    5,729.65x = 27,598,286.31
  5. Step 5: Solve for x
    x = 27,598,286.31/5,729.65
  6. Step 6: Final answer
    x = 4,816.75

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.